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123332131021 = 11137241339583
BaseRepresentation
bin111001011011100101…
…0101111100011001101
3102210100020011101221111
41302313022233203031
54010041011143041
6132354043332021
711624166550051
oct1626712574315
9383306141844
10123332131021
1148339855510
121ba9b821011
13b826639628
145d7dac7c61
15331c7a3981
hex1cb72af8cd

123332131021 has 16 divisors (see below), whose sum is σ = 136088967168. Its totient is φ = 110839564800.

The previous prime is 123332131007. The next prime is 123332131127. The reversal of 123332131021 is 120131233321.

It is a cyclic number.

It is not a de Polignac number, because 123332131021 - 211 = 123332128973 is a prime.

It is a super-2 number, since 2×1233321310212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123332130983 and 123332131001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123332131001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193396 + ... + 532978.

It is an arithmetic number, because the mean of its divisors is an integer number (8505560448).

Almost surely, 2123332131021 is an apocalyptic number.

123332131021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123332131021 is a deficient number, since it is larger than the sum of its proper divisors (12756836147).

123332131021 is a wasteful number, since it uses less digits than its factorization.

123332131021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339972.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 123332131021 its reverse (120131233321), we get a palindrome (243463364342).

The spelling of 123332131021 in words is "one hundred twenty-three billion, three hundred thirty-two million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 11 137 241 1507 2651 33017 339583 363187 3735413 46522871 81839503 511751581 900234533 11212011911 123332131021